10edo: Difference between revisions

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@@ Line 159: / Line 159: @@
 == Regular temperament properties ==
-The following table shows [[TE temperament measures]] (RMS normalized) of 10ET.
+{| class="wikitable center-4 center-5 center-6"
-{| class="wikitable center-all"
+! rowspan="2" | Subgroup
-! colspan="2" |
+! rowspan="2" | [[Comma list]]
-! 3-limit
+! rowspan="2" | [[Mapping]]
-! 2.3.7
+! rowspan="2" | Optimal<br>8ve stretch (¢)
-! 2.3.7.13
+! colspan="2" | Tuning error
-! 2.3.7.13.17
-! 5-limit
-! 7-limit
-! 2.3.5.7.13
-! 2.3.5.7.13.17
 |-
-! colspan="2" | Octave stretch (¢)
+! [[TE error|Absolute]] (¢)
-| -5.69
+! [[TE simple badness|Relative]] (%)
-| -2.77
+|-
-| -2.05
+| 2.3.5
-| -2.37
+| 25/24, 256/243
+| [{{val| 10 16 23 }}]
 | -0.09
+| 9.27
+| 7.73
+|-
+| 2.3.5.7
+| 25/24, 28/27, 49/48
+| [{{val| 10 16 23 28 }}]
 | +0.72
-| +0.60
-| -0.11
-|-
-! rowspan="2" |Error
-![[TE error|absolute]] (¢)
-| 5.66
-| 6.23
-| 5.54
-| 5.00
-| 9.27
 | 8.15
-| 7.30
-| 6.85
-|-
-![[TE simple badness|relative]] (%)
-| 4.74
-| 5.20
-| 4.62
-| 4.17
-| 7.73
 | 6.79
-| 6.08
-| 5.70
 |}
-* 10ET is lower in relative error than any previous ETs in the 7- and 17-limit. The next ETs better in those subgroups are 12 and 19eg, respectively.
+* 10et is lower in relative error than any previous equal temperaments in the 7- and 17-limit. The next equal temperaments doing better in those subgroups are 12 and 19eg, respectively.
-* 10ET is prominent in the 2.3.7.13, 2.3.5.7.13, 2.3.7.13.17, and 2.3.5.7.13.17 subgroup. The next ETs better in those subgroups are 17, 19, 36 and 31, respectively.
+* 10et is prominent in the 2.3.7.13, 2.3.5.7.13, 2.3.7.13.17, and 2.3.5.7.13.17 subgroup. The next equal temperaments doing better in those subgroups are 17, 19, 36 and 31, respectively.
 === Rank-2 temperaments ===
@@ Line 214: / Line 195: @@
 | 1
 | 1\10
-| Messed-up [[negri]] (or [[miracle]])
+| [[Negri]], [[miracle]] (out-of-tune)
 |-
 | 1
 | 3\10
-| [[Dicot]]/[[beatles]]/neutral thirds scale
+| [[Dicot]] / [[beatles]] / [[neutral]]
 |-
 | 2
 | 1\10
-| Messed-up [[pajara]]
+| [[Pajara]] (out-of-tune)
 |-
 | 2
 | 2\10
-| [[Decimal]] / messed-up [[lemba]]
+| [[Decimal]], [[lemba]] (out-of-tune)
 |-
 | 5
 | 1\10
-| [[Blackwood]]/[[blacksmith]]
+| [[Blackwood]] / [[blacksmith]]
 |}